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Optimal perturbation iteration technique for solving nonlinear Volterra‐Fredholm integral equations

Mathematical Methods in the Applied Sciences, 2020
In this work, the optimal perturbation iteration method is briefly presented and employed for solving nonlinear Volterra‐Fredholm integral equations. The classical form of the optimal perturbation iteration method is modified, and new algorithms are constructed for integral equations.
Deniz S.
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Iterative Method and Convergence Analysis for a Kind of Mixed Nonlinear Volterra–Fredholm Integral Equation

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaizhong Guan, Keyan Wang, Qisheng Wang
exaly   +4 more sources

Solution of Nonlinear Volterra–Fredholm–Hammerstein Integral Equations via Rationalized Haar Functions

Applied Mathematics and Computation, 2006
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Yadollah Ordokhani
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Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations

Stochastic Analysis and Applications, 2005
In this paper, we establish a set of sufficient conditions for the existence of solutions of nonlinear Volterra-Fredholm stochastic integral equations by using the notion of measure of noncompactness and the Darbo fixed point theorem.
K. Balachandran, K. Sumathy, H. H. Kuo
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On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods

SIAM Journal on Numerical Analysis, 1990
Particular cases of nonlinear mixed Volterra–Fredholm integral equations of the second kind arise in the mathematical modeling of the spatio-temporal development of an epidemic. This paper is concerned with the numerical solution of general integral equations of this type by continuous-time and discrete-time spline collocation methods.
Hermann Brunner
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Some Powerful Techniques for Solving Nonlinear Volterra-Fredholm Integral Equations

Journal of Applied Nonlinear Dynamics, 2021
Summary: The main object of the present paper is to study the behavior of the approximated solutions of the nonlinear mixed Volterra-Fredholm integral equations by using Adomian Decomposition Method (ADM), Modified Adomian Decomposition Method (MADM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM).
Hamoud, Ahmed A., Mohammed, Nedal M., Ghadle, Kirtiwant P.   +2 more
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An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2015
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Zhong Chen 0008, Wei Jiang 0012
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On a class of nonlinear Volterra-Fredholm q-integral equations

Fractional Calculus and Applied Analysis, 2013
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A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations

Numerical Algorithms, 2014
This paper investigates a numerical method for solving two-dimensional nonlinear Volterra-Fredholm integral equations of the following form: \[ u(x,t)-\lambda_1\int_{0}^{t}\int_{0}^{x} k_1(x,t,y,z) u^r(y,z)dydz- \] \[ -\lambda_2\int_{0}^{T_2}\int_{0}^{T_1} k_2(x,t,y,z) u^s(y,z)dydz=f(x,t), \quad r,s\in \mathbb{Z}^{+}, \] for the unknown function \(u(x ...
Seyyed Ahmad Hosseini, Sedaghat Shahmorad, Faramarz Talati   +2 more
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Collocation method for solving two-dimensional nonlinear Volterra–Fredholm integral equations with convergence analysis

Journal of Computational and Applied Mathematics, 2023
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Jian Mi, Jin Huang 0011
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